Wed May 27 08:00:32 2026 Wed May 27 08:00:32 2026 Wed May 27 08:00:32 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed May 27 08:00:32 2026 random seeds: 96875266 1eb0c4c2 Wed May 27 08:00:32 2026 MPI process 0 of 1 Wed May 27 08:00:32 2026 Using 32 OpenMP threads Wed May 27 08:00:32 2026 factoring 833656492589394009968591390158540174028986243310921349298645988772102723807546327762494702537844969683299033438434776446936195908590443149579333181573420568758361 (162 digits) Wed May 27 08:00:33 2026 searching for 15-digit factors Wed May 27 08:00:34 2026 commencing number field sieve (162-digit input) Wed May 27 08:00:34 2026 R0: -12374518502061208120298317573726 Wed May 27 08:00:34 2026 R1: 7497535538529253366841393 Wed May 27 08:00:34 2026 A0: -2153447972078585999113072343117632725 Wed May 27 08:00:34 2026 A1: -10158496125497710287809036352282 Wed May 27 08:00:34 2026 A2: 113504530310086326810439866 Wed May 27 08:00:34 2026 A3: 10276365109280310613 Wed May 27 08:00:34 2026 A4: -13989330680500 Wed May 27 08:00:34 2026 A5: 1114260 Wed May 27 08:00:34 2026 skew 1670789.48, size 1.014e-15, alpha -6.922, combined = 1.159e-12 rroots = 5 Wed May 27 08:00:34 2026 Wed May 27 08:00:34 2026 commencing relation filtering Wed May 27 08:00:34 2026 setting target matrix density to 130.0 Wed May 27 08:00:34 2026 estimated available RAM is 257736.5 MB Wed May 27 08:00:34 2026 commencing duplicate removal, pass 1 Wed May 27 08:00:52 2026 error -1 reading relation 7358633 Wed May 27 08:02:40 2026 error -1 reading relation 51565617 Wed May 27 08:03:08 2026 error -1 reading relation 62729814 Wed May 27 08:04:42 2026 error -1 reading relation 101284146 Wed May 27 08:06:18 2026 skipped 46 malformed relations Wed May 27 08:06:18 2026 found 26424665 hash collisions in 141782175 relations Wed May 27 08:06:58 2026 added 121859 free relations Wed May 27 08:06:58 2026 commencing duplicate removal, pass 2 Wed May 27 08:11:43 2026 found 24241288 duplicates and 117662746 unique relations Wed May 27 08:11:43 2026 memory use: 724.8 MB Wed May 27 08:11:44 2026 reading ideals above 720000 Wed May 27 08:11:44 2026 commencing singleton removal, initial pass Wed May 27 08:26:27 2026 memory use: 3012.0 MB Wed May 27 08:26:28 2026 reading all ideals from disk Wed May 27 08:26:32 2026 memory use: 5217.7 MB Wed May 27 08:26:59 2026 keeping 115677737 ideals with weight <= 200, target excess is 642066 Wed May 27 08:27:33 2026 commencing in-memory singleton removal Wed May 27 08:27:35 2026 begin with 117662746 relations and 115677737 unique ideals Wed May 27 08:27:45 2026 reduce to 59485758 relations and 49787748 ideals in 16 passes Wed May 27 08:27:45 2026 max relations containing the same ideal: 134 Wed May 27 08:28:35 2026 removing 6478356 relations and 5478356 ideals in 1000000 cliques Wed May 27 08:28:40 2026 commencing in-memory singleton removal Wed May 27 08:28:41 2026 begin with 53007402 relations and 49787748 unique ideals Wed May 27 08:28:45 2026 reduce to 52495581 relations and 43786691 ideals in 9 passes Wed May 27 08:28:45 2026 max relations containing the same ideal: 123 Wed May 27 08:29:32 2026 removing 4861662 relations and 3861662 ideals in 1000000 cliques Wed May 27 08:29:36 2026 commencing in-memory singleton removal Wed May 27 08:29:37 2026 begin with 47633919 relations and 43786691 unique ideals Wed May 27 08:29:41 2026 reduce to 47294455 relations and 39579049 ideals in 8 passes Wed May 27 08:29:41 2026 max relations containing the same ideal: 115 Wed May 27 08:30:19 2026 removing 4363021 relations and 3363021 ideals in 1000000 cliques Wed May 27 08:30:22 2026 commencing in-memory singleton removal Wed May 27 08:30:23 2026 begin with 42931434 relations and 39579049 unique ideals Wed May 27 08:30:25 2026 reduce to 42629716 relations and 35908292 ideals in 9 passes Wed May 27 08:30:25 2026 max relations containing the same ideal: 106 Wed May 27 08:30:58 2026 removing 4105433 relations and 3105433 ideals in 1000000 cliques Wed May 27 08:31:01 2026 commencing in-memory singleton removal Wed May 27 08:31:02 2026 begin with 38524283 relations and 35908292 unique ideals Wed May 27 08:31:04 2026 reduce to 38234227 relations and 32506850 ideals in 8 passes Wed May 27 08:31:04 2026 max relations containing the same ideal: 100 Wed May 27 08:31:34 2026 removing 3942167 relations and 2942167 ideals in 1000000 cliques Wed May 27 08:31:36 2026 commencing in-memory singleton removal Wed May 27 08:31:37 2026 begin with 34292060 relations and 32506850 unique ideals Wed May 27 08:31:39 2026 reduce to 33998754 relations and 29264797 ideals in 8 passes Wed May 27 08:31:39 2026 max relations containing the same ideal: 91 Wed May 27 08:32:10 2026 removing 3829461 relations and 2829461 ideals in 1000000 cliques Wed May 27 08:32:14 2026 commencing in-memory singleton removal Wed May 27 08:32:14 2026 begin with 30169293 relations and 29264797 unique ideals Wed May 27 08:32:16 2026 reduce to 29868248 relations and 26126786 ideals in 8 passes Wed May 27 08:32:16 2026 max relations containing the same ideal: 82 Wed May 27 08:32:39 2026 removing 3751072 relations and 2751072 ideals in 1000000 cliques Wed May 27 08:32:41 2026 commencing in-memory singleton removal Wed May 27 08:32:42 2026 begin with 26117176 relations and 26126786 unique ideals Wed May 27 08:32:43 2026 reduce to 25797652 relations and 23047094 ideals in 8 passes Wed May 27 08:32:43 2026 max relations containing the same ideal: 75 Wed May 27 08:33:05 2026 removing 3690579 relations and 2690579 ideals in 1000000 cliques Wed May 27 08:33:07 2026 commencing in-memory singleton removal Wed May 27 08:33:07 2026 begin with 22107073 relations and 23047094 unique ideals Wed May 27 08:33:09 2026 reduce to 21755101 relations and 19993002 ideals in 8 passes Wed May 27 08:33:09 2026 max relations containing the same ideal: 65 Wed May 27 08:33:25 2026 removing 3646235 relations and 2646235 ideals in 1000000 cliques Wed May 27 08:33:27 2026 commencing in-memory singleton removal Wed May 27 08:33:27 2026 begin with 18108866 relations and 19993002 unique ideals Wed May 27 08:33:28 2026 reduce to 17700968 relations and 16923238 ideals in 8 passes Wed May 27 08:33:28 2026 max relations containing the same ideal: 58 Wed May 27 08:33:42 2026 removing 227290 relations and 194357 ideals in 32933 cliques Wed May 27 08:33:43 2026 commencing in-memory singleton removal Wed May 27 08:33:43 2026 begin with 17473678 relations and 16923238 unique ideals Wed May 27 08:33:44 2026 reduce to 17472212 relations and 16727413 ideals in 5 passes Wed May 27 08:33:44 2026 max relations containing the same ideal: 58 Wed May 27 08:33:47 2026 relations with 0 large ideals: 2046 Wed May 27 08:33:47 2026 relations with 1 large ideals: 21232 Wed May 27 08:33:47 2026 relations with 2 large ideals: 257681 Wed May 27 08:33:47 2026 relations with 3 large ideals: 1289206 Wed May 27 08:33:47 2026 relations with 4 large ideals: 3350626 Wed May 27 08:33:47 2026 relations with 5 large ideals: 4935016 Wed May 27 08:33:47 2026 relations with 6 large ideals: 4362512 Wed May 27 08:33:47 2026 relations with 7+ large ideals: 3253893 Wed May 27 08:33:47 2026 commencing 2-way merge Wed May 27 08:34:05 2026 reduce to 10775666 relation sets and 10030867 unique ideals Wed May 27 08:34:05 2026 commencing full merge Wed May 27 08:42:19 2026 memory use: 1247.0 MB Wed May 27 08:42:21 2026 found 4765234 cycles, need 4713067 Wed May 27 08:42:24 2026 weight of 4713067 cycles is about 613326791 (130.13/cycle) Wed May 27 08:42:24 2026 distribution of cycle lengths: Wed May 27 08:42:24 2026 1 relations: 152291 Wed May 27 08:42:24 2026 2 relations: 248859 Wed May 27 08:42:24 2026 3 relations: 303382 Wed May 27 08:42:24 2026 4 relations: 320906 Wed May 27 08:42:24 2026 5 relations: 337590 Wed May 27 08:42:24 2026 6 relations: 337724 Wed May 27 08:42:24 2026 7 relations: 331468 Wed May 27 08:42:24 2026 8 relations: 322607 Wed May 27 08:42:24 2026 9 relations: 305759 Wed May 27 08:42:24 2026 10+ relations: 2052481 Wed May 27 08:42:24 2026 heaviest cycle: 28 relations Wed May 27 08:42:27 2026 commencing cycle optimization Wed May 27 08:42:48 2026 start with 44078916 relations Wed May 27 08:46:26 2026 pruned 1957587 relations Wed May 27 08:46:27 2026 memory use: 1168.5 MB Wed May 27 08:46:27 2026 distribution of cycle lengths: Wed May 27 08:46:27 2026 1 relations: 152291 Wed May 27 08:46:27 2026 2 relations: 255889 Wed May 27 08:46:27 2026 3 relations: 317146 Wed May 27 08:46:27 2026 4 relations: 334837 Wed May 27 08:46:27 2026 5 relations: 354219 Wed May 27 08:46:27 2026 6 relations: 353797 Wed May 27 08:46:27 2026 7 relations: 349048 Wed May 27 08:46:27 2026 8 relations: 338283 Wed May 27 08:46:27 2026 9 relations: 320211 Wed May 27 08:46:27 2026 10+ relations: 1937346 Wed May 27 08:46:27 2026 heaviest cycle: 28 relations Wed May 27 08:46:42 2026 RelProcTime: 2768 Wed May 27 08:46:42 2026 Wed May 27 08:46:42 2026 commencing linear algebra Wed May 27 08:46:42 2026 using VBITS=256 Wed May 27 08:46:42 2026 stopping after matrix build Wed May 27 08:46:42 2026 initialized process (0,0) of 1 x 1 grid Wed May 27 08:46:43 2026 read 4713067 cycles Wed May 27 08:47:01 2026 cycles contain 17040643 unique relations Wed May 27 08:50:00 2026 read 17040643 relations Wed May 27 08:50:03 2026 using 20 quadratic characters above 4294917295 Wed May 27 08:50:06 2026 building initial matrix Wed May 27 08:57:26 2026 memory use: 2287.3 MB Wed May 27 08:57:33 2026 read 4713067 cycles Wed May 27 08:57:35 2026 matrix is 4712890 x 4713067 (2368.3 MB) with weight 721308339 (153.04/col) Wed May 27 08:57:35 2026 sparse part has weight 569000812 (120.73/col) Wed May 27 08:59:30 2026 filtering completed in 2 passes Wed May 27 08:59:32 2026 matrix is 4712684 x 4712860 (2368.3 MB) with weight 721297124 (153.05/col) Wed May 27 08:59:32 2026 sparse part has weight 568996668 (120.73/col) Wed May 27 09:00:11 2026 BLanczosTime: 809 Wed May 27 09:00:11 2026 elapsed time 00:59:39 Wed May 27 09:04:00 2026 Wed May 27 09:04:00 2026 Wed May 27 09:04:00 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed May 27 09:04:00 2026 random seeds: c0eb97b2 f19d1546 Wed May 27 09:04:00 2026 MPI process 0 of 1 Wed May 27 09:04:00 2026 Using 64 OpenMP threads Wed May 27 09:04:00 2026 factoring 833656492589394009968591390158540174028986243310921349298645988772102723807546327762494702537844969683299033438434776446936195908590443149579333181573420568758361 (162 digits) Wed May 27 09:04:01 2026 searching for 15-digit factors Wed May 27 09:04:01 2026 commencing number field sieve (162-digit input) Wed May 27 09:04:01 2026 R0: -12374518502061208120298317573726 Wed May 27 09:04:01 2026 R1: 7497535538529253366841393 Wed May 27 09:04:01 2026 A0: -2153447972078585999113072343117632725 Wed May 27 09:04:01 2026 A1: -10158496125497710287809036352282 Wed May 27 09:04:01 2026 A2: 113504530310086326810439866 Wed May 27 09:04:01 2026 A3: 10276365109280310613 Wed May 27 09:04:01 2026 A4: -13989330680500 Wed May 27 09:04:01 2026 A5: 1114260 Wed May 27 09:04:01 2026 skew 1670789.48, size 1.014e-15, alpha -6.922, combined = 1.159e-12 rroots = 5 Wed May 27 09:04:01 2026 Wed May 27 09:04:01 2026 commencing linear algebra Wed May 27 09:04:01 2026 using VBITS=256 Wed May 27 09:04:01 2026 skipping matrix build Wed May 27 09:04:01 2026 initialized process (0,0) of 1 x 1 grid Wed May 27 09:04:03 2026 matrix starts at (0, 0) Wed May 27 09:04:04 2026 matrix is 4712684 x 4712860 (2368.3 MB) with weight 721297124 (153.05/col) Wed May 27 09:04:04 2026 sparse part has weight 568996668 (120.73/col) Wed May 27 09:04:04 2026 saving the first 240 matrix rows for later Wed May 27 09:04:05 2026 matrix includes 256 packed rows Wed May 27 09:04:06 2026 matrix is 4712444 x 4712860 (2119.1 MB) with weight 515342565 (109.35/col) Wed May 27 09:04:06 2026 sparse part has weight 480090528 (101.87/col) Wed May 27 09:04:06 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed May 27 09:04:17 2026 commencing Lanczos iteration (64 threads) Wed May 27 09:04:17 2026 memory use: 2986.6 MB Wed May 27 09:04:54 2026 linear algebra at 0.7%, ETA 1h31m Wed May 27 09:05:47 2026 checking every 50000 dimensions, checkpointing every 3150000 dimensions Wed May 27 10:34:26 2026 lanczos halted after 18464 iterations (dim = 4712442) Wed May 27 10:34:46 2026 recovered 28 nontrivial dependencies Wed May 27 10:34:46 2026 BLanczosTime: 5445 Wed May 27 10:34:46 2026 Wed May 27 10:34:46 2026 commencing square root phase Wed May 27 10:34:46 2026 handling dependencies 1 to 64 Wed May 27 10:34:46 2026 reading relations for dependency 1 Wed May 27 10:34:46 2026 read 2355459 cycles Wed May 27 10:34:50 2026 cycles contain 8514640 unique relations Wed May 27 10:37:25 2026 read 8514640 relations Wed May 27 10:38:40 2026 multiplying 8514640 relations Wed May 27 10:40:33 2026 multiply complete, coefficients have about 481.16 million bits Wed May 27 10:40:35 2026 initial square root is modulo 430023467 Wed May 27 10:46:14 2026 sqrtTime: 688 Wed May 27 10:46:14 2026 p80 factor: 51275848025367114184948022724068504733361651733552051893557901160040565628298733 Wed May 27 10:46:14 2026 p83 factor: 16258268262613007638632728598047186637482408961516011890530015026716870907489820317 Wed May 27 10:46:14 2026 elapsed time 01:42:14